Stability of stationary solutions for inflow problem on the thermally radiative magnetohydrodynamics

Abstract

In this paper, the inflow problem for the thermally radiative magnetohydrodynamics in a half line is investigated by using an $L^2$-energy method in the case that we consider the effects of high temperature radiation (pressure $p=R\rho \theta +\frac{a}{3}{\theta }^4$, internal energy $e=C_v\theta +\frac{a}{\rho }{\theta }^4$).